论文标题
完成$（2+1）$ - 尺寸RICCI流程空间
Complete $(2+1)$-dimensional Ricci flow spacetimes
论文作者
论文摘要
Kleiner＆Lott引入了RICCI流程空间，是一种描述Ricci流过奇点的方式，此后在文献中其他地方使用过，促使其刚性问题。在$（2+1）$ - 尺寸中，我们表明每个完整且足够的常规时空都必须是圆柱时空。也就是说，如果每个空间切片上的度量已完成，则在强加必要的连续性条件后，我们可以得出结论，每个空间切片都必须与固定表面差异，并且RICCI流程时空是该表面上经典的RICCI流程等均衡。
Ricci flow spacetimes were introduced by Kleiner & Lott as a way to describe Ricci flow through singularities, and have since been used elsewhere in the literature, prompting the question of their rigidity. In $(2+1)$-dimensions, we show that every complete and sufficiently regular spacetime must be a cylindrical spacetime. That is, if the metric is complete on each spatial slice, after imposing a necessary continuity condition, we can conclude that every spatial slice must be diffeomorphic to a fixed surface, and the Ricci flow spacetime is isometric to a classical Ricci flow on this surface.
